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Simplifying 13x + 2(x + 5) = 8x + 7 Reorder the terms: 13x + 2(5 + x) = 8x + 7 13x + (5 * 2 + x * 2) = 8x + 7 13x + (10 + 2x) = 8x + 7 Reorder the terms: 10 + 13x + 2x = 8x + 7 Combine like terms: 13x + 2x = 15x 10 + 15x = 8x + 7 Reorder the terms: 10 + 15x = 7 + 8x Solving 10 + 15x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 15x + -8x = 7 + 8x + -8x Combine like terms: 15x + -8x = 7x 10 + 7x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 7x = 7 + 0 10 + 7x = 7 Add '-10' to each side of the equation. 10 + -10 + 7x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 7 + -10 7x = 7 + -10 Combine like terms: 7 + -10 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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